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Finding the Fourth Proportional to 3,769.70, 5,654.55 and 2,603.30

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Solution

The fourth proportional to 3,769.70, 5,654.55 and 2,603.30 is: 3,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.70 : 5,654.55 = 2,603.30 : x
  2. Step 2: Convert to fraction form
    3,769.70/5,654.55 = 2,603.30/x
  3. Step 3: Cross multiply
    3,769.70x = 5,654.55 × 2,603.30
  4. Step 4: Simplify right side
    3,769.70x = 14,720,490.02
  5. Step 5: Solve for x
    x = 14,720,490.02/3,769.70
  6. Step 6: Final answer
    x = 3,904.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.